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- What is the explained variance and unexplained variance. correlation coefficient, is .771 Coefficient of determination is R squared. r2 = (.771)2 =.594441 or 59.44% of Y is due to the variation of x. 1-r2 = 1-.59441= .40559 or 40.55%The following table gives the marks obtained by a group of 80 students in an examination. Calculate the variance. Marks obtained No. of students Marks obtained No. of students 10-14 2 34-38 10 14-18 4 38-42 8 18-22 4 42-46 4 22-26 8 46-50 6 26-30 12 50-54 2 30-34 16 54-58 4Suppose that 90% of Narnians are children, that Narnian children have normally distributed BMIs with a mean of 25 kg/m^2 and variance of 64 (kg/m^2)^2 , and that Narnian adults have normally distributed BMIs with a mean of 30 kg/m^2 and variance of 100 (kg/m^2)^2 . WHO currently categorizes BMIs greater than 30 as obese. a. What is the prevalence of obesity among Narnian children? b. What is the prevalence of obesity among Narnian adults? c. What is the overall prevalence of obesity among Narnians? d. Are age and obesity statistically independent in Narnia? e. What proportion of Narnians are obese children? f. What proportion of obese Narnians are children?
- Compute for the variance of all the data on Table 2. Show your solution and answer inside the box. Express your final answer in scientific notation. Table 2 Student A Student B Student C 23.3124 mm 23.443 mm 22.2250 mm 23.7164 mm 23.444 mm 22.2250 mm 23.5489 mm 23.445 mm 22.2250 mm 23.8899 mm 23.446 mm 22.2250 mmA school is sending 15 children to a camp. If 30% of the children in the school are first graders, and the 15 children are selected at random from among all 6 grades at the school, find the mean and the variance of the number of first graders chosen.